A cube of iron and a cube of wood, each having a volume of V = 1.65 10-4 m3, are each placed in a large beaker of water. The density of the wood is ϝwood = 3.73 102 kg/m3 and the density of the iron is ϝIron = 7.86 103 kg/m3. Calculate the buoyant force on each.

Respuesta :

Answer:

Buoyant force on the wood = 0.603 N

Buoyant force on the iron = 12.722 N                  

Explanation:

We have given the cube of iron and cube of wood both have volume [tex]V=1.65\times 10^{-4}m^3[/tex]

Density of wood [tex]\rho _{wood}=3.72\times 10^2kg/m^3[/tex]

And density of the iron [tex]\rho _{iron}=7.86\times 10^3kg/m^3[/tex]

Acceleration due to gravity [tex]g=9.8m/sec^2[/tex]

We know that buoyant force is given by [tex]F=\rho Vg[/tex]

So buoyant force on the wood = [tex]3.73\times 10^2\times 1.65\times 10^{-4}\times 9.81=0.603N[/tex]

So buoyant force on iron = [tex]7.86\times 10^3\times 1.65\times 10^{-4}\times 9.81=12.722N[/tex]